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1533132125 = 53729311949
BaseRepresentation
bin101101101100001…
…1011110101011101
310221211212011220022
41123120123311131
511114440212000
6412044201525
752664256650
oct13330336535
93854764808
101533132125
1171745a948
123695392a5
131b5822a95
14107889897
158e8e1585
hex5b61bd5d

1533132125 has 64 divisors (see below), whose sum is σ = 2336256000. Its totient is φ = 981792000.

The previous prime is 1533132077. The next prime is 1533132127. The reversal of 1533132125 is 5212313351.

It is not a de Polignac number, because 1533132125 - 26 = 1533132061 is a prime.

It is a super-2 number, since 2×15331321252 = 4700988225414031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1533132094 and 1533132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785651 + ... + 787599.

It is an arithmetic number, because the mean of its divisors is an integer number (36504000).

Almost surely, 21533132125 is an apocalyptic number.

It is an amenable number.

1533132125 is a deficient number, since it is larger than the sum of its proper divisors (803123875).

1533132125 is a wasteful number, since it uses less digits than its factorization.

1533132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 1533132125 is about 39155.2311319956. The cubic root of 1533132125 is about 1153.0811200660.

Adding to 1533132125 its reverse (5212313351), we get a palindrome (6745445476).

The spelling of 1533132125 in words is "one billion, five hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 29 31 35 125 145 155 175 203 217 725 775 875 899 1015 1085 1949 3625 3875 4495 5075 5425 6293 9745 13643 22475 25375 27125 31465 48725 56521 60419 68215 112375 157325 243625 282605 302095 341075 395647 422933 786625 1413025 1510475 1705375 1752151 1978235 2114665 7065125 7552375 8760755 9891175 10573325 12265057 43803775 49455875 52866625 61325285 219018875 306626425 1533132125